first course in probability

Test instructions: A , b throw the dice, for each of the points of the big wins, flat for and, a first win m times a won, the second wins n times b win. WA so many times this problem data is wrong, two people's blood is mistaken, the amount of the input of a is actually B, the input B is actually a, because of the interference of the draw phenomenon, so the first draw included in a win probability B win probabilities are calculated out, And then minus

that it's a transpose of the original matrix.This time let b1,b2,b3 distribution reverse output, that is, output B1[::-1],B2[::-2],B3[::-3], obviously, the result is a clockwise rotation of 90° resultsSimilarly, if a nested list is passed in, the result can be output by means of a *, for example:Zip (*[(1, 4, 7), (2, 5, 8), (3, 6, 9)]) Zip (*[[1, 4, 7], [2, 5, 8], [3, 6, 9]])The output results are:[(1, 2, 3), (4, 5, 6), (7, 8, 9)]This very abstract function also has a magical magic----randomly

(expect the farmers to get the right to license ...) The number of hands above both can walk the card and high top of the 2 to do "can go Card hand not put", there are aaa,222 licensing the crossroads to do "Choose the landlord as small as possible probability" The above example can also be regarded as a loss of the game after the re-disk, why the top 2, and not the top K, any step of the card can be found, this re-disk is practical meaning that the

Topic Link:http://uva.onlinejudge.org/index.php?option=com_onlinejudgeitemid=8page=show_problem problem=1962 The main topic: give you k a hair ball, each hair ball can only survive one day, but each hair ball has pi probability multiply I a hair ball, ask the probability of death of all hair balls in M days. (All wool balls are independent and non-existent) Problem-solving ideas: first, because each hair ba

Original: http://www.cnblogs.com/orchid/p/4067042.html1, a stick, cut into three sections, the probability of the formation of a triangle is how much?2, throw a six-side dice, continuous throw until 6, ask how many times you want to throw?3, a wooden barrel inside a m white ball, every minute from the bucket randomly take out a ball painted red (whether white or red are red) and then put back, ask the bucket of the ball all the expected time to paint

D-joyfulTime limit:1000MS Memory Limit:65536KB 64bit IO Format:%i64d %i64 U SubmitStatusDescriptionSakura have a very magical tool to paint walls. One day, KAc asked Sakura-to-paint a wall that looks like an $M \times n$ matrix. The wall have $M \times n$ squares in all. The whole problem we denotes $ (x, y) $ to is the square at the $x $-th row, $y $-th column. Once Sakura has determined-squares $ (x_1, Y_1) $ and $ (x_2, y_2) $, she can use the magical tool-to-paint all the square s in the

ActivationTime limit:20000/10000 MS (java/others) Memory limit:32768/32768 K (java/others)Total Submission (s): 1842 Accepted Submission (s): 689Problem DescriptionAfter 4 years ' waiting, the Game "Chinese Paladin 5" finally comes out. Tomato is a crazy fan, and luckily he got the first release. Now he's at home and ready to begin his journey.But before starting the game, he must first activate the product on the official site. There is too many passionate fans that the activation server cannot

1. Give n cards and a random function, design a shuffle algorithmKey points: How to ensure that each card and other probabilities appear in each positionPseudo code is as follows for inch 1 ... N: Select from [1, I] swap card I with card JC + + implementation1 voidShuffle (vectorint> Cards,intN) {2 if(Cards.empty ()) {3 return;4 }5Srand (Time (0));6 for(inti =1; I ) {7 intj =1+ rand ()%i; 8Swap (Cards[i-1], Cards[j-1]);9 }Ten}ShuffleThe correctness is pro

Probability-based classification method: Naive BayesianBayesian decision theoryNaive Bayes is part of the Bayesian decision theory, so let's take a quick and easy look at Bayesian decision theory before we talk about naive Bayes.The core idea of Bayesian decision-making theory : Choose the decision with the highest probability. For example, we graduate to choose the direction of employment, the

/** Classical probability algorithm,* $PROARR is a pre-set array,* Suppose array is: Array (100,200,300,400),* Start is to filter the first number from the probability range of 1,1000 within the range of his probability of occurrence,* If not, then the probability space, that is, the value of K minus the

Most of this series is from the Standford public class machine learning Andrew Teacher's explanation, add some of their own understanding, programming implementation and learning notes.Chapter I. Logistic regression1. Logistic regressionLogistic regression is a kind of supervised learning classification algorithm, compared with the previous linear regression algorithm, the difference is that it is a classification algorithm, which also means that Y is no longer a continuous value, but {0,1} disc

Football Time limit:1000 ms Memory limit:65536 K Total submissions:1934 Accepted:958 Description Consider a single-elimination football tournament involving 2NTeams, denoted 1, 2 ,..., 2N. In each round of the tournament, all teams still in the tournament are placed in a list in order of increasing index. then, the first team in the list plays the second team, the third team plays the fourth team, etc. the winners of these matches advance t

This article mainly introduces a lottery program. The probability of winning the first prize is 0.12%, the probability of winning the second prize is 3%, the probability of winning the third prize is 12%, and the probability of winning other prizes is thank you for your patronage. This article mainly introduces a lott

Description ProblemTribblesInput:Standard Input Output:Standard output Gravitation,N."The tendency of all bodies to approach one another with a strengthProportion to the quantity of matter they contain -- the quantityMatter they contain being ascertained by the strength of their tendencyTo approach one another. This is a lovely and edifying authenticationHow science, having made a proof B, makes B the proof of ." Ambrose Bierce You have a populationKTribbles. This participates spe

Learning point probability new share 08:10:23Author:Source: Beijing News In addition to praying for good luck, investors who enter the intensive new phase may also wish to learn some tips to improve the signing rate. Probability1] Shanghai, Shanghai, and Shenzhen Difference in signing Rate5Times According to the distribution of the signing rate in the history of online purchase, the signing rate in Shanghai is similar to that in Shenzhen5Times. Statis

Activation Time Limit: 20000/10000 MS (Java/others) memory limit: 32768/32768 K (Java/Others)Total submission (s): 1332 accepted submission (s): 501 Problem descriptionafter 4 years 'waiting, the game "Chinese Paladin 5" finally comes out. tomato is a crazy fan, and luckily he got the first release. now he is at home, ready to begin his journey. But before starting the game, he must first activate the product on the official site. there are too when passionate fans that the activation server ca

\documentclass[utf8,a1paper,landscape]{ctexart}%utf8,ctexart Chinese support, Landscape landscape layout \usepackage[svgnames]{xcolor}\usepackage{tikz}%Drawing \usetikzlibrary{arrows,shapes,positioning}\tikzstyle Arrowstyle=[scale=1]\usepackage{geometry}%Margin settings \geometry{top=0.5cm,bottom=0.5cm,left=0.5cm,right=0. 5CM}\USEPACKAGE{FANCYHDR}%page Footer page set \pagestyle{fancy}\begin{document} \title{\textbf{learning plot of probability and Ma

Test Instructions: ACM Competition, a total of M, T team, Pij said that team I solved the probability of the J question, ask each team to solve at least one problem and the champions team at least solve the probability of the n problem.Analysis: Probability dp,dp[i][j][k] represents the first team, the first J, the probabilit